Solve using a substitution.
Oh wow! I knew it was something simple, completely forgot that I can change the exponent into -2 = /
I didn't do a U subsitution though, all I did was take out the 6 and integrate with (t-3) as one number, which I guess is like substituting for u.
I got -6/t-3
So your integral turns into:
Pet peeve alert!
You wrote -6/t-3.
What you wanted to write is -6/(t - 3)
Pet peeve over. You may now return to your regularly scheduled Math question.